Affine Weyl groups, discrete dynamical systems and painlevé equations

Communications in Mathematical Physics

Volumn 199, Issue 2, 1998, Pages 281-295

  Noumi, Masatoshi ^a   Yamada, Yasuhiko ^a  

^a KOBE UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032476959     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050502     Document Type: Article

References (21)

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10. Noumi, M. and Yamada, Y.: Symmetries in the fourth Painlevé equation and Okamoto polynomials. To appear in Nagoya Math. J. (q-alg/9708018)
11. Noumi, M. and Yamada, Y.: Umemura polynomials for Painlevé V equation. To appear in Phys. Lett. A.
12. (1). To appear in Funkcial. Ekvac. (math.QA/9808003)
13. Noumi, M. and Yamada, Y.: Symmetric forms of the Painlevé equations. In preparation
14. Okamoto, K.: Studies of the Painlevé equations, I. Ann. Math. Pura Appl. 146. 337-381 (1987); II. Jap. J. Math. 13, 47-76 (1987); III. Math. Ann. 275, 221-255 (1986); IV. Funkcial. Ekvac. Ser. Int. 30, 305-332 (1987)
15. Okamoto, K.: Studies of the Painlevé equations, I. Ann. Math. Pura Appl. 146. 337-381 (1987); II. Jap. J. Math. 13, 47-76 (1987); III. Math. Ann. 275, 221-255 (1986); IV. Funkcial. Ekvac. Ser. Int. 30, 305-332 (1987)
16. Okamoto, K.: Studies of the Painlevé equations, I. Ann. Math. Pura Appl. 146. 337-381 (1987); II. Jap. J. Math. 13, 47-76 (1987); III. Math. Ann. 275, 221-255 (1986); IV. Funkcial. Ekvac. Ser. Int. 30, 305-332 (1987)
17. Okamoto, K.: Studies of the Painlevé equations, I. Ann. Math. Pura Appl. 146. 337-381 (1987); II. Jap. J. Math. 13, 47-76 (1987); III. Math. Ann. 275, 221-255 (1986); IV. Funkcial. Ekvac. Ser. Int. 30, 305-332 (1987)
18. Ramani, A., Grammaticos, B. and Hietarinta, J.: Discrete versions of the Painlevé equations. Phys. Rev. Lett. 67, 1829-1832 (1991)
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20. Umemura, H.: Special polynomials associated with the Painlevé equations I. To appear in the Proceedings of the Workshop on "Painlevé Transcendents", CRM, Canada, 1996
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